What is the Least Common Multiple of 29800 and 29805?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 29800 and 29805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29800 and 29805, than apply into the LCM equation.

GCF(29800,29805) = 5
LCM(29800,29805) = ( 29800 × 29805) / 5
LCM(29800,29805) = 888189000 / 5
LCM(29800,29805) = 177637800

Least Common Multiple (LCM) of 29800 and 29805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29800 and 29805. First we will calculate the prime factors of 29800 and 29805.

Prime Factorization of 29800

Prime Factorization of 29805

Now multiplying the highest exponent prime factors to calculate the LCM of 29800 and 29805.

LCM(29800,29805) = 2³ × 5² × 149¹ × 3¹ × 1987¹
LCM(29800,29805) = 177637800